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Simplifying -2y + 4 = -3(2y + 8) Reorder the terms: 4 + -2y = -3(2y + 8) Reorder the terms: 4 + -2y = -3(8 + 2y) 4 + -2y = (8 * -3 + 2y * -3) 4 + -2y = (-24 + -6y) Solving 4 + -2y = -24 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 4 + -2y + 6y = -24 + -6y + 6y Combine like terms: -2y + 6y = 4y 4 + 4y = -24 + -6y + 6y Combine like terms: -6y + 6y = 0 4 + 4y = -24 + 0 4 + 4y = -24 Add '-4' to each side of the equation. 4 + -4 + 4y = -24 + -4 Combine like terms: 4 + -4 = 0 0 + 4y = -24 + -4 4y = -24 + -4 Combine like terms: -24 + -4 = -28 4y = -28 Divide each side by '4'. y = -7 Simplifying y = -7
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